Atkin-Lehner |
2- 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
39816h |
Isogeny class |
Conductor |
39816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
33437795328 = 210 · 310 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-29986] |
[a1,a2,a3,a4,a6] |
j |
976562500/44793 |
j-invariant |
L |
1.455159994306 |
L(r)(E,1)/r! |
Ω |
0.7275799971524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632g1 13272b1 |
Quadratic twists by: -4 -3 |